Old Faithful geyser in Yellowstone National Park, Wyoming, derives its name from the regularity of its eruptions. The file oldfaithful that comes with your textbook contains measurements on eight successive days of the durations of the eruptions (in minutes) and the subsequent time interval before the next eruption. (a) Use histograms of durations and time intervals as well as other graphical methods to examine the fidelity of Old Faithful, and summarize your findings.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Refer to Mathematical Statistics and Data Analysis by Rice 3rd edition, available in the Bartleby library.
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